Fibonacci collocation method for solving a class of nonlinear pantograph differential equations
[ N/A ]
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, a collocation method based on Fibonacci polynomials is used for approximately solving a class of nonlinear pantograph differential equations with initial and boundary conditions. The problem is first reduced into a nonlinear algebraic system via collocation points, later the unknown coefficients of the approximate solution function are calculated. Also, some problems are presented to test the performance of the proposed method by using the absolute error functions. Additionally, the obtained numerical results are compared with exact solutions of the test problems and approximate ones obtained with other methods in literature.
Açıklama
Anahtar Kelimeler
delay equations, Fibonacci collocation method, nonlinear differential equations, Pantograph equations
Kaynak
Mathematical Methods in The Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
45
Sayı
17